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131440122 = 232112292081
BaseRepresentation
bin1111101010110…
…01110111111010
3100011022211221200
413311121313322
5232122040442
621013115030
73154136232
oct765316772
9304284850
10131440122
1168215a00
1238028a76
1321301128
1413656cc2
15b81534c
hex7d59dfa

131440122 has 72 divisors (see below), whose sum is σ = 323980020. Its totient is φ = 38438400.

The previous prime is 131440117. The next prime is 131440139. The reversal of 131440122 is 221044131.

131440122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131125401 + 314721 = 11451^2 + 561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131440095 and 131440104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62122 + ... + 64202.

Almost surely, 2131440122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131440122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161990010).

131440122 is an abundant number, since it is smaller than the sum of its proper divisors (192539898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131440122 is a wasteful number, since it uses less digits than its factorization.

131440122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131440122 is about 11464.7338390387. The cubic root of 131440122 is about 508.4434432679.

Adding to 131440122 its reverse (221044131), we get a palindrome (352484253).

The spelling of 131440122 in words is "one hundred thirty-one million, four hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2081 2178 2871 3509 4162 5742 6243 7018 10527 12486 18729 21054 22891 31581 37458 45782 60349 63162 68673 120698 137346 181047 206019 251801 362094 412038 503602 543141 663839 755403 1086282 1327678 1510806 1991517 2266209 3983034 4532418 5974551 7302229 11949102 14604458 21906687 43813374 65720061 131440122